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  1. Difference between a sub graph and induced sub graph.

    Nov 9, 2014 · An INDUCED subgraph has the same edges as the original graph between the given set of vertices. A minor is, for example, a subgraph, but in general not an induced subgraph. An …

  2. Definition of subgraph - Mathematics Stack Exchange

    Nov 27, 2019 · An example of an edge which intentionally isn't kept in your pictured example would be the edge between a a and d d. That because if we were to include the edge it would effectively have …

  3. Definition of a subgraph - Mathematics Stack Exchange

    Mar 25, 2018 · Definition of a subgraph Ask Question Asked 7 years, 9 months ago Modified 7 years, 9 months ago

  4. Show that every induced subgraph of a bipartite graph is bipartite.

    Feb 2, 2020 · The simplest strategy is a different one. It is well-known (and easily shown if you didn't know it) that a graph is bipartite if and only if it doesn't contain a cycle of odd length. Since the …

  5. Graph Theory subgraph K3 3 or K5 - Mathematics Stack Exchange

    Apr 18, 2017 · I'm having trouble with the two graphs below. I am supposed to find a sub graph of K3,3 or K5 in the two graphs below. Graph #3 appears that it would have a subgraph that is K3,3 however …

  6. Is there any difference between an induced sub graph and a partial ...

    Mar 1, 2019 · IME the adjective "induced" is used before the name of a graph rather than some subgraph H H of another graph G G with all H H 's vertices already labelled with some of G G 's …

  7. How to prove that a graph A is a subgraph of graph B?

    Nov 20, 2019 · It could however be isomorphic to a subgraph of the other. To be isomorphic to a subgraph of the other, that just means that there is a way to relabel the vertices and edges in such a …

  8. planer subgraph of k4,4 - Mathematics Stack Exchange

    Apr 21, 2020 · graph G is complete bipratite graph K4,4 let one side vertices V1={v1, v2, v3, v4} the other side vertices V2={u1,u2, u3, u4} While solving a problem "how many edges removed G can be …

  9. Forbidden subgraph and H-free graph - Mathematics Stack Exchange

    Feb 13, 2022 · I'm new to graph theory and got confused with the following two notions Forbidden subgraphs: Given a graph, it's a set of subgraphs that don't contain graphs isomorphic to particular …

  10. Is "clique" a subgraph or a vertex subset? - Mathematics Stack Exchange

    Aug 29, 2023 · However we can't consider a walk as a subgraph, because it may contain a vertex or an edge multiple times, while subgraph can't reflect this multiple usage precisely, and the direction of …